3 problems

Let a $\tau$-symmetric Hamiltonian perturbation of the Riemann--Hopf hierarchy be in generalized standard form, and let $a_0$ denote the coefficient appearing in its first Hamilton…

Let $\overline{\mathcal{M}}_{g,n}$ be the moduli space of stable curves, let $\mathbb{E}$ be its Hodge bundle, and define … where…

Hodge Universality Conjecture. Every $\tau$-symmetric Hamiltonian deformation of the Riemann--Hopf hierarchy is represented universally by a Hodge integrable hierarchy. The conject…